高维矩阵环上的膨胀现象
Expanding phenomena over higher dimensional matrix rings
摘要：
本文研究了高维矩阵环上的扩张现象。更精确地说，我们得到了一个大子集的和积估计，并证明了x+yz，x（y+z）是矩阵环上的适度扩张，和xy + z + t是矩阵环上的强扩张。这些结果推广了Y.D. Karabulut，D. Koh，T.范，C-Y。沈，和第二个上市的作者。
英文摘要：
In this paper, we study the expanding phenomena in the setting of higher dimensional matrix rings. More precisely, we obtain a sum-product estimate for large subsets and show that x+yz, x(y+z) are moderate expanders over the matrix ring, and xy + z + t is strong expander over the matrix rings. These results generalize recent results of Y.D. Karabulut, D. Koh, T. Pham, C-Y. Shen, and the second listed author.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
